This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the questions. Question 3.1 Step 1: Determine the number of attendees for each ticket type on Thursday. Total Adults = 53 + 57 + 40 = 150 Total Students = 15 + 32 + 10 = 57 Total Children = 9 + 15 + 9 = 33 Step 2: Identify the ticket prices for Thursday (inclusive of 10% VAT). From Table 5 (THURSDAY AND SUNDAY column): Adult ticket price = 28.60 AUD Student ticket price = 26.40 AUD Children ticket price = 17.60 AUD Step 3: Calculate the total amount collected for each ticket type, including VAT. Total for Adults = 150 × 28.60 AUD = 4290.00 AUD Total for Students = 57 × 26.40 AUD = 1504.80 AUD Total for Children = 33 × 17.60 AUD = 580.80 AUD Step 4: Calculate the total amount collected on Thursday, including VAT. Total collected (with VAT) = 4290.00 + 1504.80 + 580.80 = 6375.60 AUD Step 5: Calculate the total amount collected excluding Australian VAT. Since the prices are inclusive of 10% VAT, the collected amount represents 110% of the amount excluding VAT. Amount excluding VAT = Total collected (with VAT)1 + VAT rate Amount excluding VAT = 6375.60 AUD1.10 = 5796.00 AUD Step 6: Verify the claim. The calculated amount collected, excluding Australian VAT, is 5796.00 AUD. The claim was that an amount of exactly 5796 AUD, excluding Australian VAT, was collected. Therefore, the claim is correct. Question 3.2 Step 1: Identify Keitumetse's ticket type and price for a Friday show. Keitumetse is a student, and she bought a ticket for a Friday show. From Table 5 (FRIDAY AND SATURDAY column): Student ticket price = 30.50 AUD Step 2: Convert the ticket price from Australian dollars (AUD) to United States dollars (USD). Given exchange rate: 1 AUD = 0.71 USD Cost in USD = 30.50 AUD × 0.71 USDAUD = 21.655 USD Step 3: Convert the ticket price from United States dollars (USD) to South African rand (ZAR). Given exchange rate: 1 USD = 14.43 ZAR Cost in ZAR = 21.655 USD × 14.43 ZARUSD = 312.50765 ZAR Step 4: Round the final answer to two decimal places for currency. Cost in ZAR ≈ 312.51 ZAR The ticket costs R312.51 in South African rand. That's 2 down. 3 left today — send the next one.